The paper continues the subject, which the author developed in the previous issue of the Journal. Two postulates, introduced by Kant are considered in the paper: postulate of the hyleomorphic structure of knowledge and postulate of the existence of incognizable reality (thing in itself). The fact, that these postulates are shared by various constructivist theories in contemporary epistemology and philosophy of science, is demonstrated. Criticism of these postulates, developed by V. Soloviev, is analyzed. It is considered, whether this criticism touches contemporary constructivism. Epistemological strategy, alternative for constructivism is described and its possible difficulties are considered.